Arctangent Calculator
tan⁻¹(x) — find the angle whose tangent is x. Range (−90°, 90°).
Result
tan⁻¹(1)
45.000000°
Approaches ±90° (±π/2) as |x| → ∞.
- Result (deg)45.000000
- Result (rad)0.785398
- Verify: tan(result)1.000000
Step-by-step
- tan⁻¹(1) = 0.785398 rad = 45.000000°.
How to use this calculator
- Enter any real number.
- Read the angle.
About this calculator
arctan (tan⁻¹) returns the angle whose tangent is the input. Unlike arcsin/arccos, arctan accepts any real number as input. Principal range is (−90°, 90°), exclusive — never reaches the endpoints, only approaches them as |x| → ∞.
Frequently asked
Because tan(90°) is undefined. arctan approaches 90° asymptotically as input → +∞.
Related calculators
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tan(x) = sin(x) / cos(x). Undefined where cos(x) = 0 (at 90°, 270°, …).
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sin⁻¹(x) — find the angle whose sine is x. Domain [-1, 1], range [−90°, 90°].
Arccosine Calculator
cos⁻¹(x) — find the angle whose cosine is x. Range [0°, 180°].
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Compute cos(x) for any angle.
Degrees to Radians Converter
Convert any angle in degrees to radians. radians = degrees × π/180.